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e+e- e+e-e+e e+e- e+e-+ F2 e+e- e+e- + +- e+e- e+e- + hadrons 2 ,QCD F2 Q2 ,QED 2 F2 2 P e+e- e+e- + +- e+e- e+e- + hadrons 2 2 Q2 W -1 < < 1 pT ,QCD F2 e ,QCD F2 e 2 2 2 Q2 ,QCD F2 x ,QED F2 +- e 2 P c e+e- e+e- + + 2 2 Q2 W ee e+e- e+e- + hadrons Q2 2 2 Whad d /dY hadrons -1 < < 1 pT pT || e e + X fi(x, Q2) e+e- e+e- e+e-X X Etag tag Q2 = 4EtagEb sin2(tag/2), Eb 2 P F2 FL d 42s = (1 + (1 - y)2)F2 (x, Q2) - y2FL(x, Q2) N(z, max)zdz, dxdy Q4 tag, Etag electron q1 Q2 = -q2 W2 =(q1+q2)2 1 P2 = -q2 2 q2 untag, Euntag positron e E Q2 2 s = 4Eb, y = 1 - (Etag/Eb) cos2(tag/2), x =, z = 2 Q2+W Eb N(z, max) E max W F2 (x, Q2) FL(x, Q2) y < y > 0.1 F2 (x, Q2) y x Q2 d(e eX) 42 F2 (x, Q2) = dxdQ2 Q4 x ,QCD F2 (x, Q2) Q2 2 x ,QCD F2 (x, Q2) F2 -1 2 2 2 qq , , T W OGAM JET SET 7.3 Q2 x RUN xtrue xvisible e ,QED F2 ,QED F2 2 P xtrue xvisible e ,QED 2 F2 (x, Q2, P ) ,QED F2 Pi2 F2 =< F2(Pi2) > 2 P DELPHI 1 0.8 0.6 0.4 0.2 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 x ,QED F2 ,QED F2 2 P 2 2 P P 2 F2 = F2(Pmean) ,QED 2 F2 2 Pi2 P ,QED 2 F2 2 P QED , QED 2 F / ,QCD F2 e ,QCD F2 F2 (x, Q2) x Q2 F2 (xtrue, Q2 ) true F2 x ,QCD F2 qq qq F2 (x, Q2) x Q2 F2 x ln < Q2 > x 2 Q2 Q2 2 0.8 DELPHI = 12 GeV2/c4 0.7 OPAL = 14.7 GeV2/c4 0.6 0.5 0.4 0.3 0.2 0.1 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 x ,QCD F2 < Q2 > 2 p0 t (1 - x) p0 t QED , QCD 2 F / x F2 ,QCD F2 ,QCD F2 2.5 0.3 < x < 0.8 PLUTO 2.25 JADE p0 = 0.1 GeV/c t TPC/2 2 TASSO p0 = 0.27 GeV/c t AMY OPAL 1.75 p0 = 0.5 GeV/c t DELPHI 1.5 1.25 1 0.75 0.5 0.25 0 2 3 1 10 10 10 Q2 (GeV2/c4) ,QCD Q2 F2 x p0 t QED , QCD 2 F / ,QCD F2 x Q2 F2 (x)/QED c c b c c c (c) J/ +- c gg (c) (c) c -1 L = 531 c 0 c Ks K % % K0K0 0.19 0.06 2.6 0.1 K0K 1.33 0.46 1.0 0.1 2K2 2.0 0.7 1.0 0.1 0 Ks K 1.5 0.4 2.8 0.3 0 0 Ks Ks c c K+K-+- K0K0 K0K e//K/p dE/dx /K /p /K 0 Ks % K0K % 2K2 K0 c T W OGEN 2K2 K0K c tot BW (, M, tot, W) = 8(2J + 1), c 2 2 2 (W - M )2 + M 2 tot c c c G(W, ) P3(W) tot c (c) ev 0 Ks K K+K-+- (c) M ev c c c e+e- e+e- e+e-X X qq 2 Q2 W i Y 2 Q2 = -qi = -(pi - pi)2 = 4EiEbeam sin2(i/2) i 2 W = -(q1 + q2)2 sy1y2 yi = 1 - (Ei/Ebeam) cos2(i/2) 2 Y = ln(W / Q2Q2) 1 2 Y 2 W Q2 | ln(Q2/Q2) |< 1 i 1 2 2 2 2 Q2 Q2 2 e+e -1 e+e- e+e- + + BDKRC + + W Y W(Y W (Y) BDKRC ee e+e- e+e- + +- (1.38 0.12 Q2 i 2 2 W (1.36 0.01) + Y DELPHI 3.5 3 2.5 2 1.5 1 0.5 0 -3 -2 -1 0 1 2 3 4 5 6 Y + d / dY (nb) e+e- e+e- + hadrons hadrons Whad T W OGAM P Y T HIA (331 8) (330 8) Q2 i Whad Y W T W OGAM P Y T HIA Y Y dee/dY Y ee e+e- e+e- + hadrons 2 Q2 i 2 Whad (2.09 0.17) T W OGAM (1.86 0.14) P Y T HIA (1.81 0.02) T W OGAM 0.6 DELPHI 0.5 0.4 0.3 0.2 0.1 0 -3 -2 -1 0 1 2 3 4 5 6 Y e+e- e+e- + hadrons T W OGAM P Y T HIA hadrons ee d / dY (pb) hadrons Y 2 W Q2 Y | ln(Q2/Q2) |< 1 i 1 2 Q2 m2 i e ee ee = Lijij i,j=T,L 2 ee = LT T = T T + 2 LT + LL LT T LT 0.2T T LL 0.05T T LT T T W OGAM dee/dY d /dY T W OGAM P Y T HIA Y dLT T /dY 0.002 10-3 d /dY T W OGAM P Y T HIA Q2 s0 Q2 Q2 Y dee/dYdata dee/dYMC dLT T /dY d /dY 103 ln(Q2/Q2) -1 < ln(Q2/Q2) < 1 1 2 1 2 - - - - - dee/dYdata e+e- +e- + hadrons e LT T d /dY hadrons Y Y Y 7 DELPHI LO BFKL 6 5 4 3 NLO BFKL QPM 2 1 0 -3 -2 -1 0 1 2 3 4 5 6 Y hadrons Q2 Q2 pT d / dY (nb) k pT = - ln(tan(/2)) a b q ,, ,, q c d g q g q g g g P P (Ejet+pz,jet) (Ejet-pz,jet) jets jets P P x+ = x- = (Epart+pz,part) (Epart-pz,part) part part Ejet pz,jet z x+ x x+ x e+e- see -1 k KT CLUS -1 < < 1 pT P Y T HIA e+e- KK2f (500 5) BDKRC (433) e+e W Z (38 4) x+ - x x x x+ x Eout x+ - x DELPHI 2250 820b) 7a) 17615all data Dir domain 5124103725120 0 10 20 30 0 1 2 Eout (GeV) Eout (GeV) 72c) d) 6500 2SR domain DR domain 4131210 0 10 20 30 0 10 20 Eout (GeV) Eout (GeV) Eout x+ - x P Y T HIA events / 2 GeV events / 0.2 GeV events / 2 GeV events / 2 GeV x+ x Eout | p | i,T W x+ - x qpm = (0.86 0.02), s-res = (1.49 0.09) d-res = (1.93 0.05) P Y T HIA (131 7) P Y T HIA pT || (893 13) DELPHI DELPHI a) b) 3.2.1.0.0 4 5 6 7 8 9 10 11 12 13 14 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 PT,mean (GeV/c) || pT || k -1 < < pT pT || (17.1 0.3) -1 < < 1 pT cross-section (pb) cross-section (pb/GeV) (20.2 0.1) (17.8 0.1) 1.1.a) 2.b) 1.2 0.1.0.0.0.0.0 4 5 6 7 8 9 10 11 12 13 14 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 PT,mean, direct term (GeV/c ) ||, direct term pT || P Y T HIA qpm = (0.86 0.02) cross-section (pb) cross-section (pb/GeV) pT b > R1 + R2 b Ri (Ze) bars - generated hist - simulated in acceptance pseudrap lt 2.7, Pt gt 4 GeV 10 20 30 40 50 60 70 80 90 1W of muon pair (GeV) + T P HIC GEANT events per one week HI running ,QCD F Q 2 2 e Z - ,QCD F x ,QCD Q2 F Q ,QED F2 + e P c c Ks K K+K-+ e+e- e+e-++ Q W 0.01) - ee e+e- e+e- + hadrons 2 Qi Whad (2.090.17) d /dY hadrons -1 < < 1 pT (17.1 0.3) (20.2 0.1) (17.8 0.1) pT || & 2 /c 2 2 2 GeV /c c
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